Name
Title | ||
|---|---|---|
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations |
Abstract | ||
|---|---|---|
This paper introduces two stabilization schemes for the least squares commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth, and Tuminaro [SIAM J. Sci. Comput., 27 (2006), pp. 1651-1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, and it has the advantage of being defined from strictly algebraic considerations. It has previously been limited in its applicability to div-stable discretizations of the Navier-Stokes equations. This paper shows how to extend the same methodology to stabilized low-order mixed finite element approximation methods. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1137/060655742 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
least square,preconditioning,stokes equation,iterative algorithm,technical report | Least squares,Preconditioner,Mathematical analysis,Finite element method,Numerical analysis,Commutator (electric),Stokes flow,Multigrid method,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
30 | 1 | 1064-8275 |
Citations | PageRank | References |
14 | 1.23 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Howard C. Elman | 1 | 498 | 96.06 |
| Victoria E. Howle | 2 | 103 | 10.22 |
| John N. Shadid | 3 | 259 | 32.24 |
| David Silvester | 4 | 139 | 29.46 |
| Ray S. Tuminaro | 5 | 447 | 38.09 |